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Miles Bush, Joshua Combes, and Benjamin Marinoff, Department of Electrical, Computer & Energy Engineering, University of Colorado Boulder, 425 UCB, Boulder CO 80309
A reliable quantum computer needs to protect the stored information from errors and noise. The laws of quantum mechanics prevent many of the classical error correcting techniques used on traditional bits from being applied to quantum bits. Bosonic error correcting codes attempt to tackle these issues by encoding quantum information into a quantum harmonic oscillator which has an infinite number of energy levels (that is an infinite-dimensional Hilbert Space). The conventional approach encodes information in five or more qubits. Qubits are systems that have two energy levels (that is a two-dimensional Hilbert space). This project will explore a particular three qubit logic gate known as a “controlled-controlled-phase gate” (CCPhase) and determine if unfavorable propagation errors and noise can be avoided when using bosonic error correcting codes. Previous research has been done on the equivalent two qubit gate, the controlled-phase gate (CPhase), which determined an equation describing the error propagation in the two qubit CPhase gate. This project will attempt to generalize this formula to the CCPhase gate and in doing so will determine the extent to which errors are spread in the gate. The results of this project will improve the understanding of fault tolerant quantum computation using bosonic error correction.
Presenter: Miles Bush
Institution: University of Colorado at Boulder
Type: Poster
Subject: Electrical & Computer Engineering
Status: Approved
